Properties of the Number 27208

Twenty-Seven Thousand Two Hundred Eight

Basics

Value: 27207 → 27208 → 27209

Parity: even

Prime: No

Previous Prime: 27197

Next Prime: 27211

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 19 × 179

Divisors: 1, 2, 4, 8, 19, 38, 76, 152, 179, 358

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110101001001000

Octal: 65110

Duodecimal: 138B4

Hexadecimal: 6a48

Square: 740275264

Square Root: 164.9484768041221

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 2 or 3 1s. A295213

T(n,k) is the number of permutations of [n] having exactly k pairs of integers i<j in [n] such that their cycle minima have opposite sorting order; triangle T(n,k), n>=0, 0<=k<=A125811(n)-1, read by rows. A381529

Numbers k such that sopfr(k) = sopfr(k - sopfr(k)). A50781

Expansion of (η(q⁴) * η(q¹²) / (η(q) * η(q³)))² in powers of q. A123647

Number of n X 7 0..1 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280439

Number of n X 4 0..1 arrays with each 1 horizontally or vertically adjacent to 2 or 3 1's. A295209

Number of nX7 0..1 arrays with each 1 horizontally or vertically adjacent to 2 or 3 1s. A295212

First row of spectral array W(log(π)). A249329

Expansion of ∏_{i>=1, j>=1} (1 + x^i·j + x^2·i*j). A329805

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280440